240024420042 has 128 divisors (see below), whose sum is σ = 541624872960. Its totient is φ = 70297943040.

The previous prime is 240024420007. The next prime is 240024420059.

240024420042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×240024420042² (a number of 24 digits) contains 22 as substring.

240024420042 is a modest number, since divided by 420042 gives 240024 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 240024419994 and 240024420021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52142913 + ... + 52147515.

It is an arithmetic number, because the mean of its divisors is an integer number (4231444320).

Almost surely, 2^240024420042 is an apocalyptic number.

240024420042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240024420042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270812436480).

240024420042 is an abundant number, since it is smaller than the sum of its proper divisors (301600452918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240024420042 is a wasteful number, since it uses less digits than its factorization.

240024420042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 240024 and 420042, that added together give a palindrome (660066).

The spelling of 240024420042 in words is "two hundred forty billion, twenty-four million, four hundred twenty thousand, forty-two".